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From: "Marcio " <marciobarbalho@yahoo.com>
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Subject: Re: simple parameter estimation
Date: Fri, 10 Oct 2008 21:09:03 +0000 (UTC)
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"Bruno Luong" <b.luong@fogale.findmycountry> wrote

> > how'd you solve a system like this:
> > 
> > for a given y1, y2 and y3:
> > 
> > dy1/dt = a*y1 +     b*y2 - c*y3
> > dy2/dt = b*y1 - (a-1)*y2 - c*y1*y3
> > dy3/dt = a*y1 - b
> > 
> > How to find a, b and c?
> > 
> 
> Do you know the cauchy data? Or is it a free parameters?

t  = [t0 t1 t2];
y1 = [x1 x2 x3];
y2 = [p1 p2 p3];
y3 = [w1 w2 w3];

I've been trying to transform that system into a simple non-linear equation system by transforming the derivatives into new functions, for example, dy1/dt could be called f1(t) once y1 is known. I'm working on it. I just had this insight, whether it works out, my day will be made!